Question

Find the slope of the line that is parallel to the line with equation 3x + 4y = 10.

Answer 1

`slope = m =(-3)/(4)`

Explanation:

The equation of a line in slope-intercept form is.

`y = mx + b`----->(eq 1)

∴ m is slope

`3x + 4y = 10`

subtract 3x from both sides.

`3x - 3x + 4y = -3x + 10`

`4y = -3x + 10`

divide 4 on both sides

`(4y)/(4) = (-3x + 10)/(4)`

`y = (-3x)/(4) + (10)/(4)`

`y = (-3)/(4)x + (10)/(4)` ----->(eq 2)

By comparing (eq 1) and (eq 2)

`slope = m =(-3)/(4)`